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Finding the Fourth Proportional to 457.09, 631.01 and 346.63

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Solution

The fourth proportional to 457.09, 631.01 and 346.63 is: 478.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.09 : 631.01 = 346.63 : x
  2. Step 2: Convert to fraction form
    457.09/631.01 = 346.63/x
  3. Step 3: Cross multiply
    457.09x = 631.01 × 346.63
  4. Step 4: Simplify right side
    457.09x = 218,725.26
  5. Step 5: Solve for x
    x = 218,725.26/457.09
  6. Step 6: Final answer
    x = 478.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.